Properties

Label 397800.dq
Number of curves $1$
Conductor $397800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 397800.dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
397800.dq1 397800dq1 \([0, 0, 0, -15375, -739325]\) \(-55136800000/483327\) \(-3523453830000\) \([]\) \(709632\) \(1.2318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 397800.dq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 397800.dq do not have complex multiplication.

Modular form 397800.2.a.dq

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 2 q^{11} + q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display